EGN_3358_Notes_Ch_5_Part 1

EGN_3358_Notes_Ch_5_Part 1 - 1 EGN-3358 –...

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Unformatted text preview: 1 EGN-3358 – Thermo-Fluids-Heat Transfer EGN 3358 Thermo-Fluids-Heat Transfer Chapter 5: Control Volume Analysis Part 1 2 EGN-3358 – Thermo-Fluids-Heat Transfer 5.1: Introduction Conservation of Mass of a System = dt dm 3 EGN-3358 – Thermo-Fluids-Heat Transfer Conservation of Momentum of a System Since It follows that = dt dm momentum linear V m = ( 29 V m dt d F = ∑ dt V d m a m F ∑ = = 4 EGN-3358 – Thermo-Fluids-Heat Transfer Conservation of Angular Momentum ( 29 ∑ Ω = dt I d torque Inertia of moment I ≡ ) ( quantity vector axis specified about momentum angular I ≡ Ω axis the about velocity angular ≡ Ω 5 EGN-3358 – Thermo-Fluids-Heat Transfer Conservation of Energy of a System dE W Q =-δ δ dt dE W Q =- PE KE U E + + = 6 EGN-3358 – Thermo-Fluids-Heat Transfer Second Law of Thermodynamics T Q d t d S ≥ 7 EGN-3358 – Thermo-Fluids-Heat Transfer 5.2: Average Reynolds Transport Theorem (RTT) for a Steady State, Steady Flow (SSSF) RTT = relates the characteristics of a system to the characteristics of a control volume [ ] [ ] ∫ ∫ ∫ ∫ ∫ ⋅ ⋅ + ⋅ ∂ ∂ = Φ CV SCV dA n V dV t Dt D ϕ ρ ϕ ρ mass unit per property fluid arbitrary = ϕ 8 EGN-3358 – Thermo-Fluids-Heat Transfer Average Reynolds Transport Theorem (RTT) for a Steady State, Steady Flow (SSSF) For Uniform One Dimensional RTT: M Φ = ϕ [ ] [ ] i d sys m m Dt D ⋅- ⋅ = Φ ϕ ϕ 9 EGN-3358 – Thermo-Fluids-Heat Transfer Average Reynolds Transport Theorem...
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This note was uploaded on 11/25/2011 for the course EGN 3358 taught by Professor Sleiti during the Fall '07 term at University of Central Florida.

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EGN_3358_Notes_Ch_5_Part 1 - 1 EGN-3358 –...

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